Answer:
Minimum angle = 108°
Step-by-step explanation:
From the figure attached,
Minimum angle to overlap the star onto itself is the angle of rotation from point A to B.
Let the angle between A and B measure a°.
If we complete a star pentagon by joining the vertices of the star,
Formula to measure the internal angle of a polygon is,
Measure of internal angle = 
Measure of ∠ABC = 
= 108°
Since, one side star divides the interior angle into three equal parts,
Measure of interior angle =
= 36°
From ΔAOB,
m(∠OAB) + m(∠AOB) + m(∠ABO) = 180° [Sum of interior angles of a triangle = 180°]
36° + a + 36° = 180°
a + 72° = 180°
a = 180 - 72
a = 108°
Therefore, by the minimum angle of rotation of 108° star will overlap onto itself.
Answer:
C. -3, 6, -9, -1
Step-by-step explanation:
A coefficient is a number used to multiply a variable.
Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.
Variables with no number have a coefficient of 1.
Example: -x is really -1x.
Answer: in all 3 years combined it should be 61,833 toys in total
Ok
Part B: Both of the children are incorrect. The children have the same amount of money
Explanation: they have the same amount because 6 dimes are 60 cents... Hannah says she has 60 cents while Mason says he has 6 dimes. Got it?
Part A: 6 dimes = 60 cents
Explanation: None
write an expression that can be used to find the nth term for each sequence listed below.7, 13, 19, 25, 31,.... -1,2,5,8,11,14
LenKa [72]
You'll have to use an arithmetic sequence to find the nth term. Use the equation a=6n+1